The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 5 sin πt + 2 cos πt, where t is measured in seconds. (round your answers to two decimal ) find the average velocity during each time period.(i) [1, 2]? cm/s(ii) [1, 1.1]? cm/s(iii) [1, 1.01]? cm/s(iv) [1, 1.001]? cm/s(b) estimate the instantaneous velocity of the particle when t = 1? cm/s